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Finding the Third Proportional to 578,335 and 1,253,196

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Solution

The third proportional to 578,335 and 1,253,196 is: 2,715,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,335 : 1,253,196 = 1,253,196 : x
  2. Step 2: Convert to fraction form
    578,335/1,253,196 = 1,253,196/x
  3. Step 3: Cross multiply
    578,335x = 1,253,196 × 1,253,196
  4. Step 4: Simplify right side
    578,335x = 1,570,500,214,416
  5. Step 5: Solve for x
    x = 1,570,500,214,416/578,335
  6. Step 6: Final answer
    x = 2,715,554.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.